Formation of cylinders:
There are fixed line segments and moving line segments in the same plane. When the plane rotates once around this fixed line, the surface formed by this moving line segment is called the surface of revolution, this moving line segment is called the generatrix of the surface of revolution, and the line where this fixed line segment is located is called the axis of the surface of revolution.
If the generatrixes are parallel to each other, the generated surface of revolution is called a cylindrical surface. If two parallel planes are used to cut the cylindrical surface, the geometry surrounded by two sections and the cylindrical surface is called a cylinder. If two parallel planes are perpendicular to the axis, the cylinder is called a straight cylinder (cylinder for short); If two parallel planes are not perpendicular to the axis, then the cylinder is called an oblique cylinder.
Properties of cylinders:
1. The two bottoms of a straight cylinder are circles with equal radii.
2. The centers of the two bottom surfaces of a straight cylinder are perpendicular to the connecting lines of the two bottom surfaces.
3. The side expansion of a straight cylinder is rectangular.
Application of cylinder:
1, containers and storage
Gas cylinders are often used as containers and storage devices, such as barrels, cans, bottles, barrels, etc. They are large in size and stable in structure, and are suitable for storing liquids, gases or solid substances.
2. Pipes and pipelines
Cylindrical shape is naturally suitable for manufacturing pipelines and piping systems. They can be used for conveying fluids, gases or other substances, and are widely used in water supply, drainage, oil and gas industries and other liquid or gas conveying systems.
3. Columnar structure
Cylinder is a solid and stable structural form, which is often used to support columns, columns or main structures of buildings, bridges and towers. They can provide uniform bearing capacity and have compression resistance.
4. Rotating machinery
The rotary motion characteristics of cylinder make it the core component of rotating machinery, such as engine cylinder, machine shaft and so on. These devices use pistons or other mechanical parts in cylinders to realize power transmission and rotary motion.
5. Optical elements
The cylindrical shape features make it have many applications in the optical field. For example, cylindrical lenses can be used to correct visual defects, focus light or change the light path. Cylinders can also be used as the active medium of lasers.
6. Decoration and Art
Cylinders are often used for decoration and artistic design. They can be used as sculptures, columns, colonnades and other elements, giving buildings or landscapes aesthetic feeling and visual attraction.